Question

20. Adults and children attend a play. Tickets cost $2 per child and $3 per

adult. The total cost for tickets is $31. In total, 12 people attend the
play. How many children attend the play?

Answer 1

5 children

Adults: x

Children: y

Cost for adults: 3x

Cost for children: 2y

Total cost: 3x + 2y = 31

Total people: x + y = 12

x = 12 - y

Substitute:

3 (12 - y) + 2y = 31

36 - 3y + 2y = 31

36 - y = 31

y = 5

Total Children: 5